On the distribution of low Hamming weight products

DOI10.1186/s13660-020-02321-zzbMath1503.94038OpenAlexW3030458967MaRDI QIDQ2069331

Qiao Li, Jiang-Hua Li

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02321-z

zbMATH Keywords

character sumsuniform distributionlow Hamming weight

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Estimates on exponential sums (11L07) Cryptography (94A60) Data encryption (aspects in computer science) (68P25) Authentication, digital signatures and secret sharing (94A62)

Uses Software

• NTRU

Cites Work

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• A new public-key cryptosystem via Mersenne numbers
• Analysis of low Hamming weight products
• Random small Hamming weight products with applications to cryptography
• Character sums over integers with restricted \(g\)-ary digits
• Differential Power Analysis in Hamming Weight Model: How to Choose among (Extended) Affine Equivalent S-boxes
• ALMOST ALL PRIMES HAVE A MULTIPLE OF SMALL HAMMING WEIGHT
• Generalized Hamming weights for linear codes
• Foundations of Cryptography
• Making RSA–PSS Provably Secure against Non-random Faults
• Provably Secure NTRU Instances over Prime Cyclotomic Rings

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